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In this letter we introduce a connection admission control (CAC) mechanism for IEEE 802.16 broadband wireless access Standard. Our scheme is based on bandwidth reservation concept and has been developed considering the problem of "busy hour" in communications traffic variation during a typical day. The proposed solution, which is compatible to the IEEE 802.16 Standard, provides higher priority to VoIP calls compared to other types of traffic in the network. The performance of the proposed scheme is evaluated by means of computer simulations, while an analytical solution is provided as well.